NEAREST-NEIGHBOR FUNCTIONS IN A ONE-DIMENSIONAL GENERALIZED BALLISTICDEPOSITION MODEL

Citation
P. Viot et al., NEAREST-NEIGHBOR FUNCTIONS IN A ONE-DIMENSIONAL GENERALIZED BALLISTICDEPOSITION MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 1661-1667
Citations number
19
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
57
Issue
2
Year of publication
1998
Part
A
Pages
1661 - 1667
Database
ISI
SICI code
1063-651X(1998)57:2<1661:NFIAOG>2.0.ZU;2-U
Abstract
We derive exact expressions for the nearest-neighbor probability funct ions for configurations of disks on a line generated by a generalized ballistic deposition process. The presence of clusters of disks profou ndly modifies the nearest-neighbor functions compared with those of cl uster-free configurations. We generalize theorems on ergodic ensembles of isotropic packing of particles to cases where clustering of partic les occurs.